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Finding the Fourth Proportional to 9,881.88, 13,637.34 and 6,527.64

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Solution

The fourth proportional to 9,881.88, 13,637.34 and 6,527.64 is: 9,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.88 : 13,637.34 = 6,527.64 : x
  2. Step 2: Convert to fraction form
    9,881.88/13,637.34 = 6,527.64/x
  3. Step 3: Cross multiply
    9,881.88x = 13,637.34 × 6,527.64
  4. Step 4: Simplify right side
    9,881.88x = 89,019,646.08
  5. Step 5: Solve for x
    x = 89,019,646.08/9,881.88
  6. Step 6: Final answer
    x = 9,008.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.